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Finding the Fourth Proportional to 99,348.08, 149,022.43 and 24,470

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Solution

The fourth proportional to 99,348.08, 149,022.43 and 24,470 is: 36,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348.08 : 149,022.43 = 24,470 : x
  2. Step 2: Convert to fraction form
    99,348.08/149,022.43 = 24,470/x
  3. Step 3: Cross multiply
    99,348.08x = 149,022.43 × 24,470
  4. Step 4: Simplify right side
    99,348.08x = 3,646,578,862.10
  5. Step 5: Solve for x
    x = 3,646,578,862.10/99,348.08
  6. Step 6: Final answer
    x = 36,705.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.